Pith Number

pith:N65GPICO

pith:2006:N65GPICOMCYS3D65MZRK5TLWWA

not attested not anchored not stored refs pending

Automorphisms of two-dimensional right-angled Artin groups

John Crisp, Karen Vogtmann, Ruth Charney

arxiv:math/0610980 v2 · 2006-10-31 · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N65GPICOMCYS3D65MZRK5TLWWA}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:37:59.522234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fba67a04e60b12d8fdd6662aecd76b0095b4b521da7089433a74ec42f93c139

Aliases

arxiv: math/0610980 · arxiv_version: math/0610980v2 · doi: 10.48550/arxiv.math/0610980 · pith_short_12: N65GPICOMCYS · pith_short_16: N65GPICOMCYS3D65 · pith_short_8: N65GPICO

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/N65GPICOMCYS3D65MZRK5TLWWA \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 6fba67a04e60b12d8fdd6662aecd76b0095b4b521da7089433a74ec42f93c139

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "928ba9fb260a8af761c2be754dbe6fe14f27ebfe0c94f247ea70a55b6634d1fd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2006-10-31T20:20:36Z",
    "title_canon_sha256": "fdcae9902c7eaa2b42de9a864fe9fbad957f92e593aa41838a16b290c9e16a75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610980",
    "kind": "arxiv",
    "version": 2
  }
}